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Proof step 871 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], datakey(ino, n) ∈ pcache, n ∈ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)]) ⊦ (content0 ⊕ mkcontent(ino, pcache))[n] = mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)])[n], n = m, ino ∈ icache, n ∈ content0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 872:
files[ino] = mkfile(m2, md0, m3, content0), datakey(ino, n) ∈ pcache, ino ∈ files, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ (content0 ⊕ mkcontent(ino, pcache))[n] = pcache[datakey(ino, m), mkpentry(false, buf)][datakey(ino, n)].page, n = m, n ∈ content0, ino ∈ icache

Rule argument

Additional information

Used simplifier rules: at-mkcontent: ⊦ mkcontent(ino, pcache)[n] = pcache[datakey(ino, n)].page;%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;